Page 242 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
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B 1 E 2 2B 2 E 1 Þ C D 1 E 2 2D 2 E 1 Þ (A.11) the (A.12) the obtain (A.13) cases nonhomoge-
1 C A of
A 2 E 1 2A 1 E 2 Þσ 6 1ð C 2 E 1 2C 1 E 2 Þσ 6 1ð 10 C NP;ξ CB C FP;ξ CB A@ x D;ξ t D;ξ respectively, In
0 0 transformation, 1 C 5 0 C A and for fact, the
ð ð matrices 0 0 2 σ 6 0 difficult. adsorptions,
½ ½ path,
form, B 1 E 2 2B 2 E 1 Þ D 1 E 2 2D 2 E 1 Þ applying 2 B 2 E 1 Þ slow C NP Þ C FP ð or reactions
matrix 0 0 and B 1 E 2 and B 1 C 2 2 B 2 C 1 ÞC 2;ξ of
in A 2 E 1 2A 1 E 2 Þσ 6 1ð C 2 E 1 2C 1 E 2 Þσ 6 1ð (A.4), 1 ð 0 1 0 path 1 ð 5 0 derivation chemical
(A.10), Eq. follows: A 2 E 1 2 A 1 E 2 Þσ 6 fast the the of
Eq. ð ½ ð ½ in as along A 2 C 1 2 A 1 C 2 Þσ 6 B 1 E 2 2 B 2 E 1 Þx D;ξ make
system B 1 C 2 2B 2 C 1 Þ B 1 D 2 2B 2 D 1 Þ matrix becomes ð ½ ð 1 ð assumptions
for coefficient B 1 C 2 2 B 2 C 1 Þ determined 1 ½ (E 1 ; E 2 )
zero C 2 D 1 2C 1 D 2 Þ C 2 D 1 2C 1 D 2 Þ (A.11) 2 A 1 E 2 Þσ 6 terms different
be A 2 C 1 2A 1 C 2 Þσ 6 1ð ð A 2 D 1 2A 1 D 2 Þσ 6 1ð ð of Eq. 1 ð is A 2 B 1 2 A 1 B 2 ÞC 1;ξ
must for 0 0 0 diagram A 2 E 1 ð 1 ½ with
matrix ð ½ A 2 D 1 2A 1 D 2 Þ ð ½ B 2 D 1 2B 1 D 2 Þ determinant matric 2 A 1 C 2 Þσ 6 C NP Þ: ð nonhomogeneous flow
coefficient A 2 B 1 2A 1 B 2 Þσ 6 zero the coefficient A 2 C 1 ð ½ composition C FP ð of multicomponent different.
of A 2 B 1 2A 1 B 2 Þ ð A 1 C 2 2A 2 C 1 Þσ 6 1ð B 1 C 2 2B 2 C 1 Þσ 6 1ð of form A 2 B 1 2 A 1 B 2 Þ 0 0 0 the path existences are
determinant 0 B ð ½ B @ ð ½ ð ½ 0 C NP;ξ 1 B C FP;ξ C 50 C B A @ x D;ξ t D;ξ Combining simplest 0 ð B B @ Therefore, composition The two-phase terms neous
